Home / 4,785.32-7,178.38-1,823

Finding the Fourth Proportional to 4,785.32, 7,178.38 and 1,823

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Solution

The fourth proportional to 4,785.32, 7,178.38 and 1,823 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.32 : 7,178.38 = 1,823 : x
  2. Step 2: Convert to fraction form
    4,785.32/7,178.38 = 1,823/x
  3. Step 3: Cross multiply
    4,785.32x = 7,178.38 × 1,823
  4. Step 4: Simplify right side
    4,785.32x = 13,086,186.74
  5. Step 5: Solve for x
    x = 13,086,186.74/4,785.32
  6. Step 6: Final answer
    x = 2,734.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.